Random covers of finite homogeneous lattices

• Date: 2006
• Main Author: Alekseychuk, A.N.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/4437
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Random covers of finite homogeneous lattices / A.N. Alekseychuk // Theory of Stochastic Processes. — 2006. — Т. 12 (28), № 1-2. — С. 12–19. — Бібліогр.: 10 назв.— англ.

We develop and extend some results for the scheme of independent random elements distributed on a finite lattice. In particular, we introduce the concept of the cover of a homogeneous lattice Ln of rank n and derive the exact equations and estimations for the number of covers with a given number o...